A small rectangular garden has an area of 80 square feet. Its length is 2 feet more than the width. Give both the length and width of the garden.

Answers

Answer 1

Answer:

The answer length is 10 and the width is 8 or the other way around.

Step-by-step explanation: The garden has a area of 80 square feet and since 10 has 2 more than 8 that the answer.

Answer 2

Final answer:

To find the length and width of the garden, set up the equation for the area of a rectangle: width times (width + 2) equals 80. Solving this gives us the width as 8 feet and the length as 10 feet.

Explanation:

The question asks us to find the length and width of a rectangular garden given that its area is 80 square feet and the length is 2 feet more than the width. We can represent the width with the variable w and then express the length as w + 2. To find the dimensions, we write the equation for the area of a rectangle (length × width):

w × (w + 2) = 80

Solving this quadratic equation gives:

w² + 2w - 80 = 0

Factoring the quadratic equation gives:

(w + 10) × (w - 8) = 0

Therefore, the width w could be 8 or -10. Since a negative width doesn't make sense for a garden, we take w = 8 feet as the width. Consequently, the length is w + 2 = 10 feet.

The dimensions of the garden are 8 feet by 10 feet or vice versa.


Related Questions

3) The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You _ _ _ _ _ the equation.

Answers

Answer:

  You solve the equation.

Step-by-step explanation:

The process of finding variable values that make the equation true is called solving the equation.

Laura mowed 8 lawns. She earned $12, $10, $15, $15, $15, $10, and $9 for seven lawns. How much did she earn the eighth time if the mean of the data is $12? *

Answers

Answer:

She earned $10 for mowing the 8th lawn.

Step-by-step explanation:

Let's use the average formula and n = 8, with x representing the 8th score:

                         12 + 10 + 15 + 15 + 15 + 10 + 9 + x

average = 12 = -------------------------------------------------

                                                  8

                                                                              86 + x

Summing up the numerator, we get average = ----------- = 12

                                                                                   8

Multiplying both sides by 8 yields                          86 + x = 96

Solving for x, we get x = 10.

She earned $10 for mowing the 8th lawn.

Answer:

She earned $10 for the eighth yard.

Step-by-step explanation:

You have 7 known numbers and 1 unknown giving you a total of 8 numbers.  When doing mean, you add up all the numbers and divide by the amount of numbers you have (in this case 8).  If you add all the numbers in this particular data set you get 86.  You know that you have to divide by 8 and you need 12 to be the answer.  Using multiplication facts, we know that 96 divided by 8 is equal to 12.  That means the answer must be 10 for the eighth yard because 86+10=96.

What does the line on the bottom of the following signs mean? ≥ ≤

Answers

Answer:

Step-by-step explanation:

Equal to or less than

Answer: I hope this helps. Mark me brainlist

Step-by-step explanation:

The symbol ≤ means less than or equal to. The symbol ≥ means greater than or equal to.The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b). The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answers

Answer:

3

Step-by-step explanation:

reflection across the x-axis
K(1, −1), N(4, 0), Q(4, −4)

Answers

The reflection across the x-axis changes the y-coordinate to its opposite. Thus, K(1, −1) becomes K(1, 1), N(4, 0) doesn't change, and Q(4, −4) becomes Q(4, 4).

The question's task is a reflection across the x-axis. This change involves flipping the coordinates in the plane over the x-axis. For a given point with coordinates (x, y), its reflection will have coordinates (x, -y). Let's apply this rule to the points given:

K(1, −1) will become K(1, 1)

N(4, 0) will remain N(4, 0) because it lies on the x-axis

Q(4, −4) will become Q(4, 4)

So, the reflected coordinates are K(1, 1), N(4, 0), Q(4, 4).

Learn more about Reflection here:

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#SPJ2

Which of these values cannot represent the probility of an event happening? 0.33 56% 7/8 1.2

Answers

Answer:

1.2

Step-by-step explanation:

Because the probability cannot be over 1 (assuming 1 is 100%) you can't have a 120% chance.

1.2 Answer:

dont thank me thank other guy Step-by-step explanation:

What is the arc measure, in degrees, of AC on circle P below?

Answers

Answer:

174 degrees.

Step-by-step explanation:

Hope this helps!

A circle has a center at (4,-1) and a radius of 6. Which of the following that are
points on the circle.
a(-2,-1)
b(4,-9)
c(0, -5)
d(8,-5)

Answers

Answer:

c

Step-by-step explanation:

I need help finding X please

Answers

Hello

This is a right angle as you can see by the small square at the bottom. So this means that it is 90 degrees.

Because we already know part of the 90 degrees, we can do 90-50 degree which leave us with 40 degrees.

So as we look at 8x, it needs to equal 40

- 8x=40 divide both sides by 8

- x=5

Hope this helps!

Ryan gets off the bus at 4: 09 PM. He rides the bus for 17 minutes to get home from school. At what time does Ryan get on the bus?

Answers

He gets on the bus at 3:52 PM.

Help please ^^ I am confused

Answers

Answer:

180

Step-by-step explanation:

4 x 28 + 64 = 176 round up to 180

10 POINTS!!
What is the length of side PQ in this figure?

Answers

Answer:

C

Step-by-step explanation:

o find the side PQ ; we need to first find the length of the given line segment which is perpendicular to side PR; let name it as QS.

Now as ΔQSR is an right angled triangle.

and the length of the side QR and SR is given , so using Pythagorean theorem we have

QR^{2}=SR^{2}+QS^{2}

5^{2}=3^{2}+QS^{2}\\ \\QS^{2}=5^{2}-3^{2}\\\\QS^{2}=25-3=16=4^2

⇒  QS=4

Now again ΔQSP is an right angled triangle; so using Pythagorean theorem in ΔQSP we have

PQ^{2}=QS^{2}+PS^{2}\\ \\PQ^{2}=4^{2}+6^{2}=16+36=52

This means QS=\sqrt{52}=2\sqrt{13}

Hence, the length of side PQ is \sqrt{52}=2\sqrt{13}.

Hence, option C is correct.

plz mark brainliest

Answer:

C

Step-by-step explanation:

I just got it right

Which of these equations has a y-intercept of 4?

A. y=x+4
B. y=x-4
C. y=4x
D. y+4=x

Answers

Answer:

A

Step-by-step explanation:

Since A is already in slope intercept form, we know that the b value is already in the correct place.

y = mx + b

In slope intercept form, the b is the y int.

Thank me later :)

Answer:

Option A, y = x + 4

Step-by-step explanation:

Step 1:  Determine which option is correct

y = mx + b

m is the slope while b is the y-int

So... the equation with a 4 for b should be the correct answer.

Option A states the following:  y = x + 4

This shows that the y-int is 4 and the slope is 1.  So, this answer is correct.

Answer:  Option A, y = x + 4

eight and eleven hundredths as a decimal

Answers

Answer:

this is your answer 8.110

Answer:

8.11

Step-by-step explanation:

is a whole number so it goes in front of the decimal points. eleven hundredths could be written as .110 or.11

The following histogram summarizes the number of points Nate has scored each game this season.

Answers

Answer:8/25

Step-by-step explanation:

Answer:

[tex]\frac{8}{25}[/tex]

Step-by-step explanation:

Experimental probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = [tex]8[/tex]

Total number of outcomes = [tex]3+5+8+6+2+1 = 25[/tex]

The probability that Nate scores [tex]8-11[/tex] points next basketball game is [tex]\frac{8}{25}[/tex].

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately how long does it take until the soccer ball hits the ground again? (1 point)

Group of answer choices

0.6 sec

0.8 sec

1.6 secs

2.8 secs

Answers

Answer:

the answer is 1.6 seconds

Step-by-step explanation:

A private club was reduced by 27 members in 3 weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?

Answers

Final answer:

The club's size decreased by a total of 27 members over 3 weeks. By dividing 27 by 3, we find that the size changed by 9 members each week.

Explanation:

The question asks about a private club which lost 27 members over the course of 3 weeks, with an equal number of members leaving each week. To find the change in the club's size each week, we divide the total number of members who left by the number of weeks. This calculation is done by taking the total decrease in members, which is 27, and dividing it by the 3 weeks.

Identify the total decrease in members: 27.

Identify the total number of weeks: 3.

Divide the total decrease in members by the number of weeks: 27 members ÷ 3 weeks = 9 members per week.

Therefore, the club's size changed by 9 members each week.


 

40% of a number is 38 what is the number

Answers

Answer:

15.2

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

38/2 = 19 = 20% x 5 = 100%

which equation represents a circle with a center at (-3,5) and a radius of 6 units

Answers

Answer:

(x+3)^2 +(y-5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 +(y-5)^2 = 6^2  

(x+3)^2 +(y-5)^2 = 36

Solve for x.



9x - 1 = -11

Answers

Answer:

X=-1.1 repeated

Step-by-step explanation:

9x - 1= -11

+1= +1

9x = -10

Divide by 9 on both sides

X = -1.1 repeating

Answer:

- 1 1/9

Step-by-step explanation:

9x - 1 = -11

Add 1 to both sides to eliminate -1 on the left side

9x - 1 + 1 = -11 + 1

9x = -10

Divide both sides by 9 to isolate x

9x/9 = -10/9

x = - 1 1/9

What number added to -31 results in a sum of O?

Answers

Answer:

31

Step-by-step explanation:

thats the absolute value

The answer is positive 31

HELP PLZZZZ I DONT KNOW

Answers

Answer:

41.5 cm^2

Step-by-step explanation:

The area of the right triangle is

A =1/2 bh  where b = (2+7) and h=(4+7)

  =1/2(9)(11)

    49.5

The area of the rectangle is

A = l*w  where l is 2 and w is 4

A = 2*4 = 8

The shaded region is the area of the triangle minus the area of the rectangle

A shaded = 49.5 - 8 = 41.5


What are all of the keys that must be pressed, in correct
order, on the calculator shown to find the value of 6,704 x 9?

1.) 6704*9
2.) 6.704*9
3.) C6704*9
4.) C6.704*9

Answers

The answer is number 1
The answer is number 1

(1 point)
2. You have made 3 out of 10 of your last free throws. How many free throws can you expect to
make if you shoot 100 free throws?
30
50
60
75

Answers

Answer:

30

Step-by-step explanation:

Answer:

30.

Step-by-step explanation:

10 x 10= 100, 3 x 10 = 30.

therefore, you should make 30 free throws

Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives the height of the baton, in feet, t seconds after it is thrown from the platform. What is the height of the platform? At what speed was the baton thrown? If she doesn't catch it, when will it hit the ground?

Answers

Answer:

(a)Height of the platform=40 feet

(b)Initial Velocity=54 ft/sec

(c)4 seconds

Step-by-step explanation:

The equation [tex]h(t) = -16t\² + 54t + 40[/tex] gives the height of the baton, in feet, t seconds after it is thrown from the platform.

(a)Height of the platform

The Height of the platform is the height at which t=0

[tex]h(0) = -16(0)\² + 54(0) + 40[/tex]

Height of the platform=40 feet

(b)To determine the speed at which the baton was thrown, we find the velocity, v(t).

[tex]v(t)=\frac{dh}{dt} =\frac{d}{dt} (-16t\² + 54t + 40)=-32t+54\\$At t=0\\v(0)=-32(0)+54=54 feet/sec[/tex]

(c)The baton will hit the ground when its height, h(t)=0

[tex]-16t\² + 54t + 40=0\\\text{Solving the quadratic formular}\\t = \frac{-54\pm \sqrt{(-54)^2 - 4*40*(-16)} }{2*-16}\\= \frac{-54\pm \sqrt{5476 }}{-32}\\= \frac{-54\pm 74}{-32}\\t=\frac{-54+ 74}{-32},\frac{-54- 74}{-32}\\t=-0.625\:or \:t=4[/tex]

Since -0.625 is not valid, the baton will hit the ground 4 seconds after it is thrown.

Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

Answers

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              [tex]a^{2} + b^{2} = c^{2}[/tex]................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       [tex]5^{2} + (x-1) ^{2} = x^{2}[/tex]

                             ( [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex] )

               25 + ( [tex]x^{2}[/tex] + 1 - 2x ) = [tex]x^{2}[/tex]

                           25 + 1 -2x = 0               ( ∵ Eliminate [tex]x^{2}[/tex] in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Line ABC is a straight line.

Line A B is a straight line. Line B comes out of the line to form angles 1 and 2.

Which describes the relationship between Angle 1 and Angle 2?
Angle 1 and Angle 2 are complementary angles.
Angle 1 and Angle 2 are supplementary angles.
Angle 1 and Angle 2 are vertical angles.
Angle 1 and Angle 2 are acute angles.

Answers

Answer:

B: supplementry angles

Step-by-step explanation:

Answer: Angle 1 and Angle 2 are supplementary angles.

Step-by-step explanation:

please help me find the answer to this problem

Answers

Answer:

13.5

Step-by-step explanation:

6 + 3 = 9

9 × 3 = 27

27 ÷ 2 = 13.5

brainliest?

A rectangle is always a square? True or false?

Answers

Answer:

False

Step-by-step explanation:

A square is defined as a quadrilateral with 4 congruent sides, but a rectangle is defined as a quadrilateral with 2 pairs of congruent sides, so unless the 2 pairs in a rectangle are the same length, no the rectangle is not a square. However all squares are rectangles.

"A rectangle is always a square" is false statement.

Rectangle:

A rectangle is quadrilateral, in which opposite sides are equal in length and all four angles are equal to 90 degree.

A square is quadrilateral, in which all four sides are equal in length and all four angles are equal to 90 degree.

A square is always a rectangle, but a rectangle is not always a square.

Therefore, given statements is false.

Learn more about the properties of square here:

https://brainly.com/question/1538726

what is the median value of data set shown on the line plot?


enter your answer in the box

Answers

Answer:

A Median is the middle data value of an ordered data set, so, that leads me to believe that the answer is 6

Hope this helps!!

Have a nice day :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

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